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Finding the Fourth Proportional to 102,895.66, 142,001.50 and 57,570.90

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Solution

The fourth proportional to 102,895.66, 142,001.50 and 57,570.90 is: 79,450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,895.66 : 142,001.50 = 57,570.90 : x
  2. Step 2: Convert to fraction form
    102,895.66/142,001.50 = 57,570.90/x
  3. Step 3: Cross multiply
    102,895.66x = 142,001.50 × 57,570.90
  4. Step 4: Simplify right side
    102,895.66x = 8,175,154,156.35
  5. Step 5: Solve for x
    x = 8,175,154,156.35/102,895.66
  6. Step 6: Final answer
    x = 79,450.91

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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.