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Finding the Fourth Proportional to 153,807.24, 212,254.02 and 86,739.24

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Solution

The fourth proportional to 153,807.24, 212,254.02 and 86,739.24 is: 119,700.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,807.24 : 212,254.02 = 86,739.24 : x
  2. Step 2: Convert to fraction form
    153,807.24/212,254.02 = 86,739.24/x
  3. Step 3: Cross multiply
    153,807.24x = 212,254.02 × 86,739.24
  4. Step 4: Simplify right side
    153,807.24x = 18,410,752,381.74
  5. Step 5: Solve for x
    x = 18,410,752,381.74/153,807.24
  6. Step 6: Final answer
    x = 119,700.17

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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.