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Finding the Fourth Proportional to 74,501.92, 102,813.16 and 40,510.78

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Solution

The fourth proportional to 74,501.92, 102,813.16 and 40,510.78 is: 55,905.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,501.92 : 102,813.16 = 40,510.78 : x
  2. Step 2: Convert to fraction form
    74,501.92/102,813.16 = 40,510.78/x
  3. Step 3: Cross multiply
    74,501.92x = 102,813.16 × 40,510.78
  4. Step 4: Simplify right side
    74,501.92x = 4,165,041,330.22
  5. Step 5: Solve for x
    x = 4,165,041,330.22/74,501.92
  6. Step 6: Final answer
    x = 55,905.15

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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.