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Finding the Fourth Proportional to 105,700.40, 145,863.48 and 57,952.88

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Solution

The fourth proportional to 105,700.40, 145,863.48 and 57,952.88 is: 79,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,700.40 : 145,863.48 = 57,952.88 : x
  2. Step 2: Convert to fraction form
    105,700.40/145,863.48 = 57,952.88/x
  3. Step 3: Cross multiply
    105,700.40x = 145,863.48 × 57,952.88
  4. Step 4: Simplify right side
    105,700.40x = 8,453,208,752.82
  5. Step 5: Solve for x
    x = 8,453,208,752.82/105,700.40
  6. Step 6: Final answer
    x = 79,973.29

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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.