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Finding the Fourth Proportional to 103,807.83, 143,254.79 and 56,061.17

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Solution

The fourth proportional to 103,807.83, 143,254.79 and 56,061.17 is: 77,364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,807.83 : 143,254.79 = 56,061.17 : x
  2. Step 2: Convert to fraction form
    103,807.83/143,254.79 = 56,061.17/x
  3. Step 3: Cross multiply
    103,807.83x = 143,254.79 × 56,061.17
  4. Step 4: Simplify right side
    103,807.83x = 8,031,031,201.70
  5. Step 5: Solve for x
    x = 8,031,031,201.70/103,807.83
  6. Step 6: Final answer
    x = 77,364.41

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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.