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Finding the Fourth Proportional to 205,048.40, 307,543.80 and 64,821.20

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Solution

The fourth proportional to 205,048.40, 307,543.80 and 64,821.20 is: 97,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,048.40 : 307,543.80 = 64,821.20 : x
  2. Step 2: Convert to fraction form
    205,048.40/307,543.80 = 64,821.20/x
  3. Step 3: Cross multiply
    205,048.40x = 307,543.80 × 64,821.20
  4. Step 4: Simplify right side
    205,048.40x = 19,935,358,168.56
  5. Step 5: Solve for x
    x = 19,935,358,168.56/205,048.40
  6. Step 6: Final answer
    x = 97,222.70

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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.