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Finding the Fourth Proportional to 243,838.76, 365,770.38 and 77,639.72

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Solution

The fourth proportional to 243,838.76, 365,770.38 and 77,639.72 is: 116,463.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,838.76 : 365,770.38 = 77,639.72 : x
  2. Step 2: Convert to fraction form
    243,838.76/365,770.38 = 77,639.72/x
  3. Step 3: Cross multiply
    243,838.76x = 365,770.38 × 77,639.72
  4. Step 4: Simplify right side
    243,838.76x = 28,398,308,058.64
  5. Step 5: Solve for x
    x = 28,398,308,058.64/243,838.76
  6. Step 6: Final answer
    x = 116,463.47

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1.5x scale

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.