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Finding the Fourth Proportional to 105,309.80, 157,964.70 and 65,911.40

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Solution

The fourth proportional to 105,309.80, 157,964.70 and 65,911.40 is: 98,867.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,309.80 : 157,964.70 = 65,911.40 : x
  2. Step 2: Convert to fraction form
    105,309.80/157,964.70 = 65,911.40/x
  3. Step 3: Cross multiply
    105,309.80x = 157,964.70 × 65,911.40
  4. Step 4: Simplify right side
    105,309.80x = 10,411,674,527.58
  5. Step 5: Solve for x
    x = 10,411,674,527.58/105,309.80
  6. Step 6: Final answer
    x = 98,867.10

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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.