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Finding the Fourth Proportional to 152,456.87, 228,894.78 and 77,627.30

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Solution

The fourth proportional to 152,456.87, 228,894.78 and 77,627.30 is: 116,547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,456.87 : 228,894.78 = 77,627.30 : x
  2. Step 2: Convert to fraction form
    152,456.87/228,894.78 = 77,627.30/x
  3. Step 3: Cross multiply
    152,456.87x = 228,894.78 × 77,627.30
  4. Step 4: Simplify right side
    152,456.87x = 17,768,482,611.02
  5. Step 5: Solve for x
    x = 17,768,482,611.02/152,456.87
  6. Step 6: Final answer
    x = 116,547.61

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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.