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Finding the Fourth Proportional to 209,430, 289,011.24 and 124,545.24

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Solution

The fourth proportional to 209,430, 289,011.24 and 124,545.24 is: 171,871.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,430 : 289,011.24 = 124,545.24 : x
  2. Step 2: Convert to fraction form
    209,430/289,011.24 = 124,545.24/x
  3. Step 3: Cross multiply
    209,430x = 289,011.24 × 124,545.24
  4. Step 4: Simplify right side
    209,430x = 35,994,974,248.50
  5. Step 5: Solve for x
    x = 35,994,974,248.50/209,430
  6. Step 6: Final answer
    x = 171,871.15

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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.