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Finding the Fourth Proportional to 157,440.86, 235,157.89 and 142,424.88

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Solution

The fourth proportional to 157,440.86, 235,157.89 and 142,424.88 is: 212,729.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,440.86 : 235,157.89 = 142,424.88 : x
  2. Step 2: Convert to fraction form
    157,440.86/235,157.89 = 142,424.88/x
  3. Step 3: Cross multiply
    157,440.86x = 235,157.89 × 142,424.88
  4. Step 4: Simplify right side
    157,440.86x = 33,492,334,264.30
  5. Step 5: Solve for x
    x = 33,492,334,264.30/157,440.86
  6. Step 6: Final answer
    x = 212,729.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.