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Finding the Fourth Proportional to 102,480, 141,422.40 and 57,768

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Solution

The fourth proportional to 102,480, 141,422.40 and 57,768 is: 79,719.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,480 : 141,422.40 = 57,768 : x
  2. Step 2: Convert to fraction form
    102,480/141,422.40 = 57,768/x
  3. Step 3: Cross multiply
    102,480x = 141,422.40 × 57,768
  4. Step 4: Simplify right side
    102,480x = 8,169,689,203.20
  5. Step 5: Solve for x
    x = 8,169,689,203.20/102,480
  6. Step 6: Final answer
    x = 79,719.84

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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.