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Finding the Fourth Proportional to 257,756.16, 386,616.96 and 70,752

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Solution

The fourth proportional to 257,756.16, 386,616.96 and 70,752 is: 106,123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,756.16 : 386,616.96 = 70,752 : x
  2. Step 2: Convert to fraction form
    257,756.16/386,616.96 = 70,752/x
  3. Step 3: Cross multiply
    257,756.16x = 386,616.96 × 70,752
  4. Step 4: Simplify right side
    257,756.16x = 27,353,923,153.92
  5. Step 5: Solve for x
    x = 27,353,923,153.92/257,756.16
  6. Step 6: Final answer
    x = 106,123.26

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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.