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Finding the Fourth Proportional to 102,355.88, 153,429.80 and 42,416.96

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Solution

The fourth proportional to 102,355.88, 153,429.80 and 42,416.96 is: 63,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,355.88 : 153,429.80 = 42,416.96 : x
  2. Step 2: Convert to fraction form
    102,355.88/153,429.80 = 42,416.96/x
  3. Step 3: Cross multiply
    102,355.88x = 153,429.80 × 42,416.96
  4. Step 4: Simplify right side
    102,355.88x = 6,508,025,967.92
  5. Step 5: Solve for x
    x = 6,508,025,967.92/102,355.88
  6. Step 6: Final answer
    x = 63,582.34

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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.