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Finding the Fourth Proportional to 153,610, 211,983.88 and 86,542.16

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Solution

The fourth proportional to 153,610, 211,983.88 and 86,542.16 is: 119,429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,610 : 211,983.88 = 86,542.16 : x
  2. Step 2: Convert to fraction form
    153,610/211,983.88 = 86,542.16/x
  3. Step 3: Cross multiply
    153,610x = 211,983.88 × 86,542.16
  4. Step 4: Simplify right side
    153,610x = 18,345,542,860.38
  5. Step 5: Solve for x
    x = 18,345,542,860.38/153,610
  6. Step 6: Final answer
    x = 119,429.35

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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.