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Finding the Fourth Proportional to 105,459.69, 145,534.14 and 57,713.01

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Solution

The fourth proportional to 105,459.69, 145,534.14 and 57,713.01 is: 79,643.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,459.69 : 145,534.14 = 57,713.01 : x
  2. Step 2: Convert to fraction form
    105,459.69/145,534.14 = 57,713.01/x
  3. Step 3: Cross multiply
    105,459.69x = 145,534.14 × 57,713.01
  4. Step 4: Simplify right side
    105,459.69x = 8,399,213,277.16
  5. Step 5: Solve for x
    x = 8,399,213,277.16/105,459.69
  6. Step 6: Final answer
    x = 79,643.83

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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.