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Finding the Fourth Proportional to 153,165.24, 211,387.02 and 86,097.24

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Solution

The fourth proportional to 153,165.24, 211,387.02 and 86,097.24 is: 118,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,165.24 : 211,387.02 = 86,097.24 : x
  2. Step 2: Convert to fraction form
    153,165.24/211,387.02 = 86,097.24/x
  3. Step 3: Cross multiply
    153,165.24x = 211,387.02 × 86,097.24
  4. Step 4: Simplify right side
    153,165.24x = 18,199,838,993.82
  5. Step 5: Solve for x
    x = 18,199,838,993.82/153,165.24
  6. Step 6: Final answer
    x = 118,824.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.