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Finding the Fourth Proportional to 101,807.01, 152,710.53 and 31,686.36

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Solution

The fourth proportional to 101,807.01, 152,710.53 and 31,686.36 is: 47,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,807.01 : 152,710.53 = 31,686.36 : x
  2. Step 2: Convert to fraction form
    101,807.01/152,710.53 = 31,686.36/x
  3. Step 3: Cross multiply
    101,807.01x = 152,710.53 × 31,686.36
  4. Step 4: Simplify right side
    101,807.01x = 4,838,840,829.37
  5. Step 5: Solve for x
    x = 4,838,840,829.37/101,807.01
  6. Step 6: Final answer
    x = 47,529.54

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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.