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Finding the Fourth Proportional to 145,416.60, 218,123.42 and 56,732.40

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Solution

The fourth proportional to 145,416.60, 218,123.42 and 56,732.40 is: 85,098.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,416.60 : 218,123.42 = 56,732.40 : x
  2. Step 2: Convert to fraction form
    145,416.60/218,123.42 = 56,732.40/x
  3. Step 3: Cross multiply
    145,416.60x = 218,123.42 × 56,732.40
  4. Step 4: Simplify right side
    145,416.60x = 12,374,664,829.15
  5. Step 5: Solve for x
    x = 12,374,664,829.15/145,416.60
  6. Step 6: Final answer
    x = 85,098.02

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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.