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Finding the Fourth Proportional to 76,653, 114,946.65 and 26,718.32

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Solution

The fourth proportional to 76,653, 114,946.65 and 26,718.32 is: 40,066.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,653 : 114,946.65 = 26,718.32 : x
  2. Step 2: Convert to fraction form
    76,653/114,946.65 = 26,718.32/x
  3. Step 3: Cross multiply
    76,653x = 114,946.65 × 26,718.32
  4. Step 4: Simplify right side
    76,653x = 3,071,180,802.89
  5. Step 5: Solve for x
    x = 3,071,180,802.89/76,653
  6. Step 6: Final answer
    x = 40,066.02

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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.