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Finding the Fourth Proportional to 189,075.47, 260,920.77 and 103,035.20

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Solution

The fourth proportional to 189,075.47, 260,920.77 and 103,035.20 is: 142,186.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,075.47 : 260,920.77 = 103,035.20 : x
  2. Step 2: Convert to fraction form
    189,075.47/260,920.77 = 103,035.20/x
  3. Step 3: Cross multiply
    189,075.47x = 260,920.77 × 103,035.20
  4. Step 4: Simplify right side
    189,075.47x = 26,884,023,721.10
  5. Step 5: Solve for x
    x = 26,884,023,721.10/189,075.47
  6. Step 6: Final answer
    x = 142,186.73

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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.