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Finding the Fourth Proportional to 98,721.60, 148,082.40 and 28,603.20

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Solution

The fourth proportional to 98,721.60, 148,082.40 and 28,603.20 is: 42,904.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,721.60 : 148,082.40 = 28,603.20 : x
  2. Step 2: Convert to fraction form
    98,721.60/148,082.40 = 28,603.20/x
  3. Step 3: Cross multiply
    98,721.60x = 148,082.40 × 28,603.20
  4. Step 4: Simplify right side
    98,721.60x = 4,235,630,503.68
  5. Step 5: Solve for x
    x = 4,235,630,503.68/98,721.60
  6. Step 6: Final answer
    x = 42,904.80

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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.