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Finding the Fourth Proportional to 97,218.30, 145,827.45 and 87,368.70

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Solution

The fourth proportional to 97,218.30, 145,827.45 and 87,368.70 is: 131,053.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,218.30 : 145,827.45 = 87,368.70 : x
  2. Step 2: Convert to fraction form
    97,218.30/145,827.45 = 87,368.70/x
  3. Step 3: Cross multiply
    97,218.30x = 145,827.45 × 87,368.70
  4. Step 4: Simplify right side
    97,218.30x = 12,740,754,730.82
  5. Step 5: Solve for x
    x = 12,740,754,730.82/97,218.30
  6. Step 6: Final answer
    x = 131,053.05

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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.