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Finding the Fourth Proportional to 70,762.89, 106,140.86 and 26,386.17

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Solution

The fourth proportional to 70,762.89, 106,140.86 and 26,386.17 is: 39,577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,762.89 : 106,140.86 = 26,386.17 : x
  2. Step 2: Convert to fraction form
    70,762.89/106,140.86 = 26,386.17/x
  3. Step 3: Cross multiply
    70,762.89x = 106,140.86 × 26,386.17
  4. Step 4: Simplify right side
    70,762.89x = 2,800,650,643.98
  5. Step 5: Solve for x
    x = 2,800,650,643.98/70,762.89
  6. Step 6: Final answer
    x = 39,577.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.