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Finding the Fourth Proportional to 147,472.85, 203,529.85 and 83,820.22

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Solution

The fourth proportional to 147,472.85, 203,529.85 and 83,820.22 is: 115,681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,472.85 : 203,529.85 = 83,820.22 : x
  2. Step 2: Convert to fraction form
    147,472.85/203,529.85 = 83,820.22/x
  3. Step 3: Cross multiply
    147,472.85x = 203,529.85 × 83,820.22
  4. Step 4: Simplify right side
    147,472.85x = 17,059,916,085.19
  5. Step 5: Solve for x
    x = 17,059,916,085.19/147,472.85
  6. Step 6: Final answer
    x = 115,681.74

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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.