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Finding the Fourth Proportional to 101,502, 152,267.52 and 31,386.72

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Solution

The fourth proportional to 101,502, 152,267.52 and 31,386.72 is: 47,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,502 : 152,267.52 = 31,386.72 : x
  2. Step 2: Convert to fraction form
    101,502/152,267.52 = 31,386.72/x
  3. Step 3: Cross multiply
    101,502x = 152,267.52 × 31,386.72
  4. Step 4: Simplify right side
    101,502x = 4,779,178,015.33
  5. Step 5: Solve for x
    x = 4,779,178,015.33/101,502
  6. Step 6: Final answer
    x = 47,084.57

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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.