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Finding the Fourth Proportional to 164,870, 247,250.10 and 65,004.20

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Solution

The fourth proportional to 164,870, 247,250.10 and 65,004.20 is: 97,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,870 : 247,250.10 = 65,004.20 : x
  2. Step 2: Convert to fraction form
    164,870/247,250.10 = 65,004.20/x
  3. Step 3: Cross multiply
    164,870x = 247,250.10 × 65,004.20
  4. Step 4: Simplify right side
    164,870x = 16,072,294,950.42
  5. Step 5: Solve for x
    x = 16,072,294,950.42/164,870
  6. Step 6: Final answer
    x = 97,484.65

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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.