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Finding the Fourth Proportional to 153,468.16, 211,815.47 and 86,400.16

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Solution

The fourth proportional to 153,468.16, 211,815.47 and 86,400.16 is: 119,248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,468.16 : 211,815.47 = 86,400.16 : x
  2. Step 2: Convert to fraction form
    153,468.16/211,815.47 = 86,400.16/x
  3. Step 3: Cross multiply
    153,468.16x = 211,815.47 × 86,400.16
  4. Step 4: Simplify right side
    153,468.16x = 18,300,890,498.48
  5. Step 5: Solve for x
    x = 18,300,890,498.48/153,468.16
  6. Step 6: Final answer
    x = 119,248.78

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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.