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Finding the Fourth Proportional to 101,291.18, 152,032.12 and 51,407.08

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Solution

The fourth proportional to 101,291.18, 152,032.12 and 51,407.08 is: 77,159.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,291.18 : 152,032.12 = 51,407.08 : x
  2. Step 2: Convert to fraction form
    101,291.18/152,032.12 = 51,407.08/x
  3. Step 3: Cross multiply
    101,291.18x = 152,032.12 × 51,407.08
  4. Step 4: Simplify right side
    101,291.18x = 7,815,526,846.81
  5. Step 5: Solve for x
    x = 7,815,526,846.81/101,291.18
  6. Step 6: Final answer
    x = 77,159.01

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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.