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Finding the Fourth Proportional to 102,002.50, 140,776.65 and 57,290.50

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Solution

The fourth proportional to 102,002.50, 140,776.65 and 57,290.50 is: 79,068.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,002.50 : 140,776.65 = 57,290.50 : x
  2. Step 2: Convert to fraction form
    102,002.50/140,776.65 = 57,290.50/x
  3. Step 3: Cross multiply
    102,002.50x = 140,776.65 × 57,290.50
  4. Step 4: Simplify right side
    102,002.50x = 8,065,164,666.83
  5. Step 5: Solve for x
    x = 8,065,164,666.83/102,002.50
  6. Step 6: Final answer
    x = 79,068.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.