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Finding the Fourth Proportional to 105,715, 145,886.70 and 61,028.92

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Solution

The fourth proportional to 105,715, 145,886.70 and 61,028.92 is: 84,219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,715 : 145,886.70 = 61,028.92 : x
  2. Step 2: Convert to fraction form
    105,715/145,886.70 = 61,028.92/x
  3. Step 3: Cross multiply
    105,715x = 145,886.70 × 61,028.92
  4. Step 4: Simplify right side
    105,715x = 8,903,307,743.36
  5. Step 5: Solve for x
    x = 8,903,307,743.36/105,715
  6. Step 6: Final answer
    x = 84,219.91

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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.