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Finding the Fourth Proportional to 97,842.65, 146,762.40 and 38,678.87

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Solution

The fourth proportional to 97,842.65, 146,762.40 and 38,678.87 is: 58,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,842.65 : 146,762.40 = 38,678.87 : x
  2. Step 2: Convert to fraction form
    97,842.65/146,762.40 = 38,678.87/x
  3. Step 3: Cross multiply
    97,842.65x = 146,762.40 × 38,678.87
  4. Step 4: Simplify right side
    97,842.65x = 5,676,603,790.49
  5. Step 5: Solve for x
    x = 5,676,603,790.49/97,842.65
  6. Step 6: Final answer
    x = 58,017.68

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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.