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Finding the Fourth Proportional to 98,445.78, 147,709.98 and 42,298.20

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Solution

The fourth proportional to 98,445.78, 147,709.98 and 42,298.20 is: 63,465.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,445.78 : 147,709.98 = 42,298.20 : x
  2. Step 2: Convert to fraction form
    98,445.78/147,709.98 = 42,298.20/x
  3. Step 3: Cross multiply
    98,445.78x = 147,709.98 × 42,298.20
  4. Step 4: Simplify right side
    98,445.78x = 6,247,866,276.04
  5. Step 5: Solve for x
    x = 6,247,866,276.04/98,445.78
  6. Step 6: Final answer
    x = 63,465.05

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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.