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Finding the Fourth Proportional to 147,810.04, 203,978.05 and 84,147.75

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Solution

The fourth proportional to 147,810.04, 203,978.05 and 84,147.75 is: 116,124.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,810.04 : 203,978.05 = 84,147.75 : x
  2. Step 2: Convert to fraction form
    147,810.04/203,978.05 = 84,147.75/x
  3. Step 3: Cross multiply
    147,810.04x = 203,978.05 × 84,147.75
  4. Step 4: Simplify right side
    147,810.04x = 17,164,293,746.52
  5. Step 5: Solve for x
    x = 17,164,293,746.52/147,810.04
  6. Step 6: Final answer
    x = 116,124.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.