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Finding the Fourth Proportional to 205,433.60, 307,545.60 and 153,075.20

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Solution

The fourth proportional to 205,433.60, 307,545.60 and 153,075.20 is: 229,162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,433.60 : 307,545.60 = 153,075.20 : x
  2. Step 2: Convert to fraction form
    205,433.60/307,545.60 = 153,075.20/x
  3. Step 3: Cross multiply
    205,433.60x = 307,545.60 × 153,075.20
  4. Step 4: Simplify right side
    205,433.60x = 47,077,604,229.12
  5. Step 5: Solve for x
    x = 47,077,604,229.12/205,433.60
  6. Step 6: Final answer
    x = 229,162.14

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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.