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Finding the Fourth Proportional to 141,459.69, 195,210.46 and 77,797.54

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Solution

The fourth proportional to 141,459.69, 195,210.46 and 77,797.54 is: 107,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,459.69 : 195,210.46 = 77,797.54 : x
  2. Step 2: Convert to fraction form
    141,459.69/195,210.46 = 77,797.54/x
  3. Step 3: Cross multiply
    141,459.69x = 195,210.46 × 77,797.54
  4. Step 4: Simplify right side
    141,459.69x = 15,186,893,570.27
  5. Step 5: Solve for x
    x = 15,186,893,570.27/141,459.69
  6. Step 6: Final answer
    x = 107,358.45

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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.