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Finding the Fourth Proportional to 105,253.29, 145,251.63 and 57,509.60

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Solution

The fourth proportional to 105,253.29, 145,251.63 and 57,509.60 is: 79,364.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,253.29 : 145,251.63 = 57,509.60 : x
  2. Step 2: Convert to fraction form
    105,253.29/145,251.63 = 57,509.60/x
  3. Step 3: Cross multiply
    105,253.29x = 145,251.63 × 57,509.60
  4. Step 4: Simplify right side
    105,253.29x = 8,353,363,140.65
  5. Step 5: Solve for x
    x = 8,353,363,140.65/105,253.29
  6. Step 6: Final answer
    x = 79,364.39

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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.