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Finding the Fourth Proportional to 145,863.81, 218,708.13 and 57,011.46

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Solution

The fourth proportional to 145,863.81, 218,708.13 and 57,011.46 is: 85,482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,863.81 : 218,708.13 = 57,011.46 : x
  2. Step 2: Convert to fraction form
    145,863.81/218,708.13 = 57,011.46/x
  3. Step 3: Cross multiply
    145,863.81x = 218,708.13 × 57,011.46
  4. Step 4: Simplify right side
    145,863.81x = 12,468,869,805.17
  5. Step 5: Solve for x
    x = 12,468,869,805.17/145,863.81
  6. Step 6: Final answer
    x = 85,482.96

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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.