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Finding the Fourth Proportional to 101,904.40, 152,718.36 and 57,509.20

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Solution

The fourth proportional to 101,904.40, 152,718.36 and 57,509.20 is: 86,185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,904.40 : 152,718.36 = 57,509.20 : x
  2. Step 2: Convert to fraction form
    101,904.40/152,718.36 = 57,509.20/x
  3. Step 3: Cross multiply
    101,904.40x = 152,718.36 × 57,509.20
  4. Step 4: Simplify right side
    101,904.40x = 8,782,710,708.91
  5. Step 5: Solve for x
    x = 8,782,710,708.91/101,904.40
  6. Step 6: Final answer
    x = 86,185.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.