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Finding the Fourth Proportional to 152,431.14, 210,355.14 and 85,363.14

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Solution

The fourth proportional to 152,431.14, 210,355.14 and 85,363.14 is: 117,801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,431.14 : 210,355.14 = 85,363.14 : x
  2. Step 2: Convert to fraction form
    152,431.14/210,355.14 = 85,363.14/x
  3. Step 3: Cross multiply
    152,431.14x = 210,355.14 × 85,363.14
  4. Step 4: Simplify right side
    152,431.14x = 17,956,575,265.54
  5. Step 5: Solve for x
    x = 17,956,575,265.54/152,431.14
  6. Step 6: Final answer
    x = 117,801.23

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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.