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Finding the Fourth Proportional to 98,412.56, 147,643.56 and 28,292

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Solution

The fourth proportional to 98,412.56, 147,643.56 and 28,292 is: 42,445.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,412.56 : 147,643.56 = 28,292 : x
  2. Step 2: Convert to fraction form
    98,412.56/147,643.56 = 28,292/x
  3. Step 3: Cross multiply
    98,412.56x = 147,643.56 × 28,292
  4. Step 4: Simplify right side
    98,412.56x = 4,177,131,599.52
  5. Step 5: Solve for x
    x = 4,177,131,599.52/98,412.56
  6. Step 6: Final answer
    x = 42,445.11

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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.