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Finding the Fourth Proportional to 76,857.40, 106,061.10 and 42,866.92

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Solution

The fourth proportional to 76,857.40, 106,061.10 and 42,866.92 is: 59,155.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,857.40 : 106,061.10 = 42,866.92 : x
  2. Step 2: Convert to fraction form
    76,857.40/106,061.10 = 42,866.92/x
  3. Step 3: Cross multiply
    76,857.40x = 106,061.10 × 42,866.92
  4. Step 4: Simplify right side
    76,857.40x = 4,546,512,688.81
  5. Step 5: Solve for x
    x = 4,546,512,688.81/76,857.40
  6. Step 6: Final answer
    x = 59,155.17

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1.5x scale

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.