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Finding the Fourth Proportional to 152,506.71, 210,459.24 and 85,438.71

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Solution

The fourth proportional to 152,506.71, 210,459.24 and 85,438.71 is: 117,905.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,506.71 : 210,459.24 = 85,438.71 : x
  2. Step 2: Convert to fraction form
    152,506.71/210,459.24 = 85,438.71/x
  3. Step 3: Cross multiply
    152,506.71x = 210,459.24 × 85,438.71
  4. Step 4: Simplify right side
    152,506.71x = 17,981,365,973.18
  5. Step 5: Solve for x
    x = 17,981,365,973.18/152,506.71
  6. Step 6: Final answer
    x = 117,905.41

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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.