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Finding the Fourth Proportional to 98,785.98, 148,029.30 and 65,386.38

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Solution

The fourth proportional to 98,785.98, 148,029.30 and 65,386.38 is: 97,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,785.98 : 148,029.30 = 65,386.38 : x
  2. Step 2: Convert to fraction form
    98,785.98/148,029.30 = 65,386.38/x
  3. Step 3: Cross multiply
    98,785.98x = 148,029.30 × 65,386.38
  4. Step 4: Simplify right side
    98,785.98x = 9,679,100,060.93
  5. Step 5: Solve for x
    x = 9,679,100,060.93/98,785.98
  6. Step 6: Final answer
    x = 97,980.50

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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.