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Finding the Fourth Proportional to 141,111, 211,666.50 and 42,615

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Solution

The fourth proportional to 141,111, 211,666.50 and 42,615 is: 63,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,111 : 211,666.50 = 42,615 : x
  2. Step 2: Convert to fraction form
    141,111/211,666.50 = 42,615/x
  3. Step 3: Cross multiply
    141,111x = 211,666.50 × 42,615
  4. Step 4: Simplify right side
    141,111x = 9,020,167,897.50
  5. Step 5: Solve for x
    x = 9,020,167,897.50/141,111
  6. Step 6: Final answer
    x = 63,922.50

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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.