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Finding the Fourth Proportional to 98,686.40, 148,029.42 and 28,565.60

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Solution

The fourth proportional to 98,686.40, 148,029.42 and 28,565.60 is: 42,848.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,686.40 : 148,029.42 = 28,565.60 : x
  2. Step 2: Convert to fraction form
    98,686.40/148,029.42 = 28,565.60/x
  3. Step 3: Cross multiply
    98,686.40x = 148,029.42 × 28,565.60
  4. Step 4: Simplify right side
    98,686.40x = 4,228,549,199.95
  5. Step 5: Solve for x
    x = 4,228,549,199.95/98,686.40
  6. Step 6: Final answer
    x = 42,848.35

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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.