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Finding the Fourth Proportional to 65,188.32, 89,955.36 and 38,332

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Solution

The fourth proportional to 65,188.32, 89,955.36 and 38,332 is: 52,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,188.32 : 89,955.36 = 38,332 : x
  2. Step 2: Convert to fraction form
    65,188.32/89,955.36 = 38,332/x
  3. Step 3: Cross multiply
    65,188.32x = 89,955.36 × 38,332
  4. Step 4: Simplify right side
    65,188.32x = 3,448,168,859.52
  5. Step 5: Solve for x
    x = 3,448,168,859.52/65,188.32
  6. Step 6: Final answer
    x = 52,895.50

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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.