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Finding the Fourth Proportional to 103,419.67, 142,734.54 and 63,156.79

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Solution

The fourth proportional to 103,419.67, 142,734.54 and 63,156.79 is: 87,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,419.67 : 142,734.54 = 63,156.79 : x
  2. Step 2: Convert to fraction form
    103,419.67/142,734.54 = 63,156.79/x
  3. Step 3: Cross multiply
    103,419.67x = 142,734.54 × 63,156.79
  4. Step 4: Simplify right side
    103,419.67x = 9,014,655,368.53
  5. Step 5: Solve for x
    x = 9,014,655,368.53/103,419.67
  6. Step 6: Final answer
    x = 87,165.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.