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Finding the Fourth Proportional to 93,705.12, 129,340.80 and 65,419.92

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Solution

The fourth proportional to 93,705.12, 129,340.80 and 65,419.92 is: 90,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,705.12 : 129,340.80 = 65,419.92 : x
  2. Step 2: Convert to fraction form
    93,705.12/129,340.80 = 65,419.92/x
  3. Step 3: Cross multiply
    93,705.12x = 129,340.80 × 65,419.92
  4. Step 4: Simplify right side
    93,705.12x = 8,461,464,788.74
  5. Step 5: Solve for x
    x = 8,461,464,788.74/93,705.12
  6. Step 6: Final answer
    x = 90,298.85

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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.