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Finding the Fourth Proportional to 93,315, 128,774.70 and 59,781

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Solution

The fourth proportional to 93,315, 128,774.70 and 59,781 is: 82,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,315 : 128,774.70 = 59,781 : x
  2. Step 2: Convert to fraction form
    93,315/128,774.70 = 59,781/x
  3. Step 3: Cross multiply
    93,315x = 128,774.70 × 59,781
  4. Step 4: Simplify right side
    93,315x = 7,698,280,340.70
  5. Step 5: Solve for x
    x = 7,698,280,340.70/93,315
  6. Step 6: Final answer
    x = 82,497.78

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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.