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Finding the Fourth Proportional to 90,807, 136,210.50 and 25,143

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Solution

The fourth proportional to 90,807, 136,210.50 and 25,143 is: 37,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,807 : 136,210.50 = 25,143 : x
  2. Step 2: Convert to fraction form
    90,807/136,210.50 = 25,143/x
  3. Step 3: Cross multiply
    90,807x = 136,210.50 × 25,143
  4. Step 4: Simplify right side
    90,807x = 3,424,740,601.50
  5. Step 5: Solve for x
    x = 3,424,740,601.50/90,807
  6. Step 6: Final answer
    x = 37,714.50

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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.