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Finding the Fourth Proportional to 152,481, 210,423.84 and 85,413

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Solution

The fourth proportional to 152,481, 210,423.84 and 85,413 is: 117,869.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,481 : 210,423.84 = 85,413 : x
  2. Step 2: Convert to fraction form
    152,481/210,423.84 = 85,413/x
  3. Step 3: Cross multiply
    152,481x = 210,423.84 × 85,413
  4. Step 4: Simplify right side
    152,481x = 17,972,931,445.92
  5. Step 5: Solve for x
    x = 17,972,931,445.92/152,481
  6. Step 6: Final answer
    x = 117,869.97

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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.