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Finding the Fourth Proportional to 213,646.66, 320,445.51 and 55,890.34

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Solution

The fourth proportional to 213,646.66, 320,445.51 and 55,890.34 is: 83,829.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,646.66 : 320,445.51 = 55,890.34 : x
  2. Step 2: Convert to fraction form
    213,646.66/320,445.51 = 55,890.34/x
  3. Step 3: Cross multiply
    213,646.66x = 320,445.51 × 55,890.34
  4. Step 4: Simplify right side
    213,646.66x = 17,909,808,505.37
  5. Step 5: Solve for x
    x = 17,909,808,505.37/213,646.66
  6. Step 6: Final answer
    x = 83,829.11

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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.