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Finding the Fourth Proportional to 105,264.94, 145,265.66 and 56,866.89

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Solution

The fourth proportional to 105,264.94, 145,265.66 and 56,866.89 is: 78,476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,264.94 : 145,265.66 = 56,866.89 : x
  2. Step 2: Convert to fraction form
    105,264.94/145,265.66 = 56,866.89/x
  3. Step 3: Cross multiply
    105,264.94x = 145,265.66 × 56,866.89
  4. Step 4: Simplify right side
    105,264.94x = 8,260,806,308.00
  5. Step 5: Solve for x
    x = 8,260,806,308.00/105,264.94
  6. Step 6: Final answer
    x = 78,476.33

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1.5x scale

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.