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Finding the Fourth Proportional to 119,030.64, 164,264.76 and 65,312.52

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Solution

The fourth proportional to 119,030.64, 164,264.76 and 65,312.52 is: 90,132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,030.64 : 164,264.76 = 65,312.52 : x
  2. Step 2: Convert to fraction form
    119,030.64/164,264.76 = 65,312.52/x
  3. Step 3: Cross multiply
    119,030.64x = 164,264.76 × 65,312.52
  4. Step 4: Simplify right side
    119,030.64x = 10,728,545,422.80
  5. Step 5: Solve for x
    x = 10,728,545,422.80/119,030.64
  6. Step 6: Final answer
    x = 90,132.64

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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.