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Finding the Fourth Proportional to 98,783.34, 148,208.28 and 31,326.40

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Solution

The fourth proportional to 98,783.34, 148,208.28 and 31,326.40 is: 47,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,783.34 : 148,208.28 = 31,326.40 : x
  2. Step 2: Convert to fraction form
    98,783.34/148,208.28 = 31,326.40/x
  3. Step 3: Cross multiply
    98,783.34x = 148,208.28 × 31,326.40
  4. Step 4: Simplify right side
    98,783.34x = 4,642,831,862.59
  5. Step 5: Solve for x
    x = 4,642,831,862.59/98,783.34
  6. Step 6: Final answer
    x = 47,000.15

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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.