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Finding the Fourth Proportional to 98,784.98, 148,027.80 and 65,385.38

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Solution

The fourth proportional to 98,784.98, 148,027.80 and 65,385.38 is: 97,979.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,784.98 : 148,027.80 = 65,385.38 : x
  2. Step 2: Convert to fraction form
    98,784.98/148,027.80 = 65,385.38/x
  3. Step 3: Cross multiply
    98,784.98x = 148,027.80 × 65,385.38
  4. Step 4: Simplify right side
    98,784.98x = 9,678,853,953.56
  5. Step 5: Solve for x
    x = 9,678,853,953.56/98,784.98
  6. Step 6: Final answer
    x = 97,979.00

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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.