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Finding the Fourth Proportional to 157,148.40, 235,463.40 and 133,820.40

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Solution

The fourth proportional to 157,148.40, 235,463.40 and 133,820.40 is: 200,509.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,148.40 : 235,463.40 = 133,820.40 : x
  2. Step 2: Convert to fraction form
    157,148.40/235,463.40 = 133,820.40/x
  3. Step 3: Cross multiply
    157,148.40x = 235,463.40 × 133,820.40
  4. Step 4: Simplify right side
    157,148.40x = 31,509,806,373.36
  5. Step 5: Solve for x
    x = 31,509,806,373.36/157,148.40
  6. Step 6: Final answer
    x = 200,509.88

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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.