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Finding the Fourth Proportional to 130,907.81, 180,652.78 and 71,291.81

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Solution

The fourth proportional to 130,907.81, 180,652.78 and 71,291.81 is: 98,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,907.81 : 180,652.78 = 71,291.81 : x
  2. Step 2: Convert to fraction form
    130,907.81/180,652.78 = 71,291.81/x
  3. Step 3: Cross multiply
    130,907.81x = 180,652.78 × 71,291.81
  4. Step 4: Simplify right side
    130,907.81x = 12,879,064,208.48
  5. Step 5: Solve for x
    x = 12,879,064,208.48/130,907.81
  6. Step 6: Final answer
    x = 98,382.70

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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.