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Finding the Fourth Proportional to 206,878,291, 310,318,992.06 and 91,831,904.44

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Solution

The fourth proportional to 206,878,291, 310,318,992.06 and 91,831,904.44 is: 137,748,547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,878,291 : 310,318,992.06 = 91,831,904.44 : x
  2. Step 2: Convert to fraction form
    206,878,291/310,318,992.06 = 91,831,904.44/x
  3. Step 3: Cross multiply
    206,878,291x = 310,318,992.06 × 91,831,904.44
  4. Step 4: Simplify right side
    206,878,291x = 28,497,184,024,771,040
  5. Step 5: Solve for x
    x = 28,497,184,024,771,040/206,878,291
  6. Step 6: Final answer
    x = 137,748,547.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.