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Finding the Fourth Proportional to 191,059.12, 286,578.32 and 78,737.20

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Solution

The fourth proportional to 191,059.12, 286,578.32 and 78,737.20 is: 118,101.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,059.12 : 286,578.32 = 78,737.20 : x
  2. Step 2: Convert to fraction form
    191,059.12/286,578.32 = 78,737.20/x
  3. Step 3: Cross multiply
    191,059.12x = 286,578.32 × 78,737.20
  4. Step 4: Simplify right side
    191,059.12x = 22,564,374,497.50
  5. Step 5: Solve for x
    x = 22,564,374,497.50/191,059.12
  6. Step 6: Final answer
    x = 118,101.53

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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.