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Finding the Fourth Proportional to 105,036.32, 157,184.40 and 65,612

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Solution

The fourth proportional to 105,036.32, 157,184.40 and 65,612 is: 98,186.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,036.32 : 157,184.40 = 65,612 : x
  2. Step 2: Convert to fraction form
    105,036.32/157,184.40 = 65,612/x
  3. Step 3: Cross multiply
    105,036.32x = 157,184.40 × 65,612
  4. Step 4: Simplify right side
    105,036.32x = 10,313,182,852.80
  5. Step 5: Solve for x
    x = 10,313,182,852.80/105,036.32
  6. Step 6: Final answer
    x = 98,186.83

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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.