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Finding the Fourth Proportional to 141,313, 211,970 and 42,817

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Solution

The fourth proportional to 141,313, 211,970 and 42,817 is: 64,225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,313 : 211,970 = 42,817 : x
  2. Step 2: Convert to fraction form
    141,313/211,970 = 42,817/x
  3. Step 3: Cross multiply
    141,313x = 211,970 × 42,817
  4. Step 4: Simplify right side
    141,313x = 9,075,919,490
  5. Step 5: Solve for x
    x = 9,075,919,490/141,313
  6. Step 6: Final answer
    x = 64,225.65

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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.