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Finding the Fourth Proportional to 141,336, 212,004.36 and 42,840

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Solution

The fourth proportional to 141,336, 212,004.36 and 42,840 is: 64,260.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,336 : 212,004.36 = 42,840 : x
  2. Step 2: Convert to fraction form
    141,336/212,004.36 = 42,840/x
  3. Step 3: Cross multiply
    141,336x = 212,004.36 × 42,840
  4. Step 4: Simplify right side
    141,336x = 9,082,266,782.40
  5. Step 5: Solve for x
    x = 9,082,266,782.40/141,336
  6. Step 6: Final answer
    x = 64,260.11

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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.