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Finding the Fourth Proportional to 189,875.90, 284,564.71 and 139,721.15

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Solution

The fourth proportional to 189,875.90, 284,564.71 and 139,721.15 is: 209,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,875.90 : 284,564.71 = 139,721.15 : x
  2. Step 2: Convert to fraction form
    189,875.90/284,564.71 = 139,721.15/x
  3. Step 3: Cross multiply
    189,875.90x = 284,564.71 × 139,721.15
  4. Step 4: Simplify right side
    189,875.90x = 39,759,707,832.01
  5. Step 5: Solve for x
    x = 39,759,707,832.01/189,875.90
  6. Step 6: Final answer
    x = 209,398.39

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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.