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Finding the Fourth Proportional to 147,045.20, 202,959.40 and 83,421.20

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Solution

The fourth proportional to 147,045.20, 202,959.40 and 83,421.20 is: 115,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,045.20 : 202,959.40 = 83,421.20 : x
  2. Step 2: Convert to fraction form
    147,045.20/202,959.40 = 83,421.20/x
  3. Step 3: Cross multiply
    147,045.20x = 202,959.40 × 83,421.20
  4. Step 4: Simplify right side
    147,045.20x = 16,931,116,699.28
  5. Step 5: Solve for x
    x = 16,931,116,699.28/147,045.20
  6. Step 6: Final answer
    x = 115,142.26

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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.