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Finding the Fourth Proportional to 98,142.72, 135,437.76 and 53,430.72

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Solution

The fourth proportional to 98,142.72, 135,437.76 and 53,430.72 is: 73,734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,142.72 : 135,437.76 = 53,430.72 : x
  2. Step 2: Convert to fraction form
    98,142.72/135,437.76 = 53,430.72/x
  3. Step 3: Cross multiply
    98,142.72x = 135,437.76 × 53,430.72
  4. Step 4: Simplify right side
    98,142.72x = 7,236,537,031.99
  5. Step 5: Solve for x
    x = 7,236,537,031.99/98,142.72
  6. Step 6: Final answer
    x = 73,734.83

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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.