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Finding the Fourth Proportional to 141,770, 212,655 and 58,666.16

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Solution

The fourth proportional to 141,770, 212,655 and 58,666.16 is: 87,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,770 : 212,655 = 58,666.16 : x
  2. Step 2: Convert to fraction form
    141,770/212,655 = 58,666.16/x
  3. Step 3: Cross multiply
    141,770x = 212,655 × 58,666.16
  4. Step 4: Simplify right side
    141,770x = 12,475,652,254.80
  5. Step 5: Solve for x
    x = 12,475,652,254.80/141,770
  6. Step 6: Final answer
    x = 87,999.24

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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.