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Finding the Fourth Proportional to 102,140, 140,953.20 and 57,428

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Solution

The fourth proportional to 102,140, 140,953.20 and 57,428 is: 79,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,140 : 140,953.20 = 57,428 : x
  2. Step 2: Convert to fraction form
    102,140/140,953.20 = 57,428/x
  3. Step 3: Cross multiply
    102,140x = 140,953.20 × 57,428
  4. Step 4: Simplify right side
    102,140x = 8,094,660,369.60
  5. Step 5: Solve for x
    x = 8,094,660,369.60/102,140
  6. Step 6: Final answer
    x = 79,250.64

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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.