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Finding the Fourth Proportional to 77,011.84, 115,320.66 and 43,681.96

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Solution

The fourth proportional to 77,011.84, 115,320.66 and 43,681.96 is: 65,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,011.84 : 115,320.66 = 43,681.96 : x
  2. Step 2: Convert to fraction form
    77,011.84/115,320.66 = 43,681.96/x
  3. Step 3: Cross multiply
    77,011.84x = 115,320.66 × 43,681.96
  4. Step 4: Simplify right side
    77,011.84x = 5,037,432,457.29
  5. Step 5: Solve for x
    x = 5,037,432,457.29/77,011.84
  6. Step 6: Final answer
    x = 65,411.14

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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.