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Finding the Fourth Proportional to 142,393.32, 196,500.63 and 77,862.77

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Solution

The fourth proportional to 142,393.32, 196,500.63 and 77,862.77 is: 107,449.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,393.32 : 196,500.63 = 77,862.77 : x
  2. Step 2: Convert to fraction form
    142,393.32/196,500.63 = 77,862.77/x
  3. Step 3: Cross multiply
    142,393.32x = 196,500.63 × 77,862.77
  4. Step 4: Simplify right side
    142,393.32x = 15,300,083,358.55
  5. Step 5: Solve for x
    x = 15,300,083,358.55/142,393.32
  6. Step 6: Final answer
    x = 107,449.45

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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.