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Finding the Fourth Proportional to 130,751.65, 180,221.65 and 92,461.81

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Solution

The fourth proportional to 130,751.65, 180,221.65 and 92,461.81 is: 127,444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,751.65 : 180,221.65 = 92,461.81 : x
  2. Step 2: Convert to fraction form
    130,751.65/180,221.65 = 92,461.81/x
  3. Step 3: Cross multiply
    130,751.65x = 180,221.65 × 92,461.81
  4. Step 4: Simplify right side
    130,751.65x = 16,663,619,960.19
  5. Step 5: Solve for x
    x = 16,663,619,960.19/130,751.65
  6. Step 6: Final answer
    x = 127,444.82

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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.