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Finding the Fourth Proportional to 142,438.40, 196,557.02 and 77,894.90

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Solution

The fourth proportional to 142,438.40, 196,557.02 and 77,894.90 is: 107,490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,438.40 : 196,557.02 = 77,894.90 : x
  2. Step 2: Convert to fraction form
    142,438.40/196,557.02 = 77,894.90/x
  3. Step 3: Cross multiply
    142,438.40x = 196,557.02 × 77,894.90
  4. Step 4: Simplify right side
    142,438.40x = 15,310,789,417.20
  5. Step 5: Solve for x
    x = 15,310,789,417.20/142,438.40
  6. Step 6: Final answer
    x = 107,490.60

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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.