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Finding the Fourth Proportional to 103,485.70, 142,822.10 and 57,549.92

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Solution

The fourth proportional to 103,485.70, 142,822.10 and 57,549.92 is: 79,425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,485.70 : 142,822.10 = 57,549.92 : x
  2. Step 2: Convert to fraction form
    103,485.70/142,822.10 = 57,549.92/x
  3. Step 3: Cross multiply
    103,485.70x = 142,822.10 × 57,549.92
  4. Step 4: Simplify right side
    103,485.70x = 8,219,400,429.23
  5. Step 5: Solve for x
    x = 8,219,400,429.23/103,485.70
  6. Step 6: Final answer
    x = 79,425.47

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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.