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Finding the Fourth Proportional to 38,642.50, 53,326.65 and 21,875.50

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Solution

The fourth proportional to 38,642.50, 53,326.65 and 21,875.50 is: 30,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,642.50 : 53,326.65 = 21,875.50 : x
  2. Step 2: Convert to fraction form
    38,642.50/53,326.65 = 21,875.50/x
  3. Step 3: Cross multiply
    38,642.50x = 53,326.65 × 21,875.50
  4. Step 4: Simplify right side
    38,642.50x = 1,166,547,132.08
  5. Step 5: Solve for x
    x = 1,166,547,132.08/38,642.50
  6. Step 6: Final answer
    x = 30,188.19

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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.