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Finding the Fourth Proportional to 147,029.57, 202,869.45 and 86,578.14

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Solution

The fourth proportional to 147,029.57, 202,869.45 and 86,578.14 is: 119,459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,029.57 : 202,869.45 = 86,578.14 : x
  2. Step 2: Convert to fraction form
    147,029.57/202,869.45 = 86,578.14/x
  3. Step 3: Cross multiply
    147,029.57x = 202,869.45 × 86,578.14
  4. Step 4: Simplify right side
    147,029.57x = 17,564,059,643.82
  5. Step 5: Solve for x
    x = 17,564,059,643.82/147,029.57
  6. Step 6: Final answer
    x = 119,459.37

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1.5x scale

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.