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Finding the Fourth Proportional to 103,716, 143,128.80 and 59,004

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Solution

The fourth proportional to 103,716, 143,128.80 and 59,004 is: 81,425.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,716 : 143,128.80 = 59,004 : x
  2. Step 2: Convert to fraction form
    103,716/143,128.80 = 59,004/x
  3. Step 3: Cross multiply
    103,716x = 143,128.80 × 59,004
  4. Step 4: Simplify right side
    103,716x = 8,445,171,715.20
  5. Step 5: Solve for x
    x = 8,445,171,715.20/103,716
  6. Step 6: Final answer
    x = 81,425.93

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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.