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Finding the Fourth Proportional to 152,453.87, 228,890.28 and 77,624.30

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Solution

The fourth proportional to 152,453.87, 228,890.28 and 77,624.30 is: 116,543.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,453.87 : 228,890.28 = 77,624.30 : x
  2. Step 2: Convert to fraction form
    152,453.87/228,890.28 = 77,624.30/x
  3. Step 3: Cross multiply
    152,453.87x = 228,890.28 × 77,624.30
  4. Step 4: Simplify right side
    152,453.87x = 17,767,446,326.26
  5. Step 5: Solve for x
    x = 17,767,446,326.26/152,453.87
  6. Step 6: Final answer
    x = 116,543.10

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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.