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Finding the Fourth Proportional to 145,569.24, 218,447.24 and 70,648.49

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Solution

The fourth proportional to 145,569.24, 218,447.24 and 70,648.49 is: 106,018.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,569.24 : 218,447.24 = 70,648.49 : x
  2. Step 2: Convert to fraction form
    145,569.24/218,447.24 = 70,648.49/x
  3. Step 3: Cross multiply
    145,569.24x = 218,447.24 × 70,648.49
  4. Step 4: Simplify right side
    145,569.24x = 15,432,967,650.67
  5. Step 5: Solve for x
    x = 15,432,967,650.67/145,569.24
  6. Step 6: Final answer
    x = 106,018.05

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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.