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Finding the Fourth Proportional to 105,208.80, 145,185.80 and 57,462.32

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Solution

The fourth proportional to 105,208.80, 145,185.80 and 57,462.32 is: 79,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,208.80 : 145,185.80 = 57,462.32 : x
  2. Step 2: Convert to fraction form
    105,208.80/145,185.80 = 57,462.32/x
  3. Step 3: Cross multiply
    105,208.80x = 145,185.80 × 57,462.32
  4. Step 4: Simplify right side
    105,208.80x = 8,342,712,899.06
  5. Step 5: Solve for x
    x = 8,342,712,899.06/105,208.80
  6. Step 6: Final answer
    x = 79,296.72

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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.