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Finding the Fourth Proportional to 153,288.30, 230,041.80 and 86,657.70

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Solution

The fourth proportional to 153,288.30, 230,041.80 and 86,657.70 is: 130,048.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,288.30 : 230,041.80 = 86,657.70 : x
  2. Step 2: Convert to fraction form
    153,288.30/230,041.80 = 86,657.70/x
  3. Step 3: Cross multiply
    153,288.30x = 230,041.80 × 86,657.70
  4. Step 4: Simplify right side
    153,288.30x = 19,934,893,291.86
  5. Step 5: Solve for x
    x = 19,934,893,291.86/153,288.30
  6. Step 6: Final answer
    x = 130,048.37

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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.