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Finding the Fourth Proportional to 152,312.50, 209,815.68 and 129,578.68

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Solution

The fourth proportional to 152,312.50, 209,815.68 and 129,578.68 is: 178,499.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,312.50 : 209,815.68 = 129,578.68 : x
  2. Step 2: Convert to fraction form
    152,312.50/209,815.68 = 129,578.68/x
  3. Step 3: Cross multiply
    152,312.50x = 209,815.68 × 129,578.68
  4. Step 4: Simplify right side
    152,312.50x = 27,187,638,857.70
  5. Step 5: Solve for x
    x = 27,187,638,857.70/152,312.50
  6. Step 6: Final answer
    x = 178,499.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.