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Finding the Fourth Proportional to 77,066.71, 106,387.64 and 48,810.67

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Solution

The fourth proportional to 77,066.71, 106,387.64 and 48,810.67 is: 67,381.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,066.71 : 106,387.64 = 48,810.67 : x
  2. Step 2: Convert to fraction form
    77,066.71/106,387.64 = 48,810.67/x
  3. Step 3: Cross multiply
    77,066.71x = 106,387.64 × 48,810.67
  4. Step 4: Simplify right side
    77,066.71x = 5,192,851,988.12
  5. Step 5: Solve for x
    x = 5,192,851,988.12/77,066.71
  6. Step 6: Final answer
    x = 67,381.26

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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.