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Finding the Fourth Proportional to 152,123.80, 209,938.74 and 87,602.68

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Solution

The fourth proportional to 152,123.80, 209,938.74 and 87,602.68 is: 120,896.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,123.80 : 209,938.74 = 87,602.68 : x
  2. Step 2: Convert to fraction form
    152,123.80/209,938.74 = 87,602.68/x
  3. Step 3: Cross multiply
    152,123.80x = 209,938.74 × 87,602.68
  4. Step 4: Simplify right side
    152,123.80x = 18,391,196,259.82
  5. Step 5: Solve for x
    x = 18,391,196,259.82/152,123.80
  6. Step 6: Final answer
    x = 120,896.25

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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.