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Finding the Fourth Proportional to 157,018, 235,206.24 and 130,637.92

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Solution

The fourth proportional to 157,018, 235,206.24 and 130,637.92 is: 195,690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,018 : 235,206.24 = 130,637.92 : x
  2. Step 2: Convert to fraction form
    157,018/235,206.24 = 130,637.92/x
  3. Step 3: Cross multiply
    157,018x = 235,206.24 × 130,637.92
  4. Step 4: Simplify right side
    157,018x = 30,726,853,964.62
  5. Step 5: Solve for x
    x = 30,726,853,964.62/157,018
  6. Step 6: Final answer
    x = 195,690.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.