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Finding the Fourth Proportional to 119,398.40, 164,656.70 and 76,391.50

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Solution

The fourth proportional to 119,398.40, 164,656.70 and 76,391.50 is: 105,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,398.40 : 164,656.70 = 76,391.50 : x
  2. Step 2: Convert to fraction form
    119,398.40/164,656.70 = 76,391.50/x
  3. Step 3: Cross multiply
    119,398.40x = 164,656.70 × 76,391.50
  4. Step 4: Simplify right side
    119,398.40x = 12,578,371,636.55
  5. Step 5: Solve for x
    x = 12,578,371,636.55/119,398.40
  6. Step 6: Final answer
    x = 105,347.91

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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.