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Finding the Fourth Proportional to 149,857.60, 224,872.80 and 56,430.40

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Solution

The fourth proportional to 149,857.60, 224,872.80 and 56,430.40 is: 84,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,857.60 : 224,872.80 = 56,430.40 : x
  2. Step 2: Convert to fraction form
    149,857.60/224,872.80 = 56,430.40/x
  3. Step 3: Cross multiply
    149,857.60x = 224,872.80 × 56,430.40
  4. Step 4: Simplify right side
    149,857.60x = 12,689,662,053.12
  5. Step 5: Solve for x
    x = 12,689,662,053.12/149,857.60
  6. Step 6: Final answer
    x = 84,678.13

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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.