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Finding the Fourth Proportional to 157,419.20, 236,128.80 and 82,510.40

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Solution

The fourth proportional to 157,419.20, 236,128.80 and 82,510.40 is: 123,765.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,419.20 : 236,128.80 = 82,510.40 : x
  2. Step 2: Convert to fraction form
    157,419.20/236,128.80 = 82,510.40/x
  3. Step 3: Cross multiply
    157,419.20x = 236,128.80 × 82,510.40
  4. Step 4: Simplify right side
    157,419.20x = 19,483,081,739.52
  5. Step 5: Solve for x
    x = 19,483,081,739.52/157,419.20
  6. Step 6: Final answer
    x = 123,765.60

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1.5x scale

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.