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Finding the Fourth Proportional to 141,009.60, 211,459.52 and 70,840

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Solution

The fourth proportional to 141,009.60, 211,459.52 and 70,840 is: 106,232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,009.60 : 211,459.52 = 70,840 : x
  2. Step 2: Convert to fraction form
    141,009.60/211,459.52 = 70,840/x
  3. Step 3: Cross multiply
    141,009.60x = 211,459.52 × 70,840
  4. Step 4: Simplify right side
    141,009.60x = 14,979,792,396.80
  5. Step 5: Solve for x
    x = 14,979,792,396.80/141,009.60
  6. Step 6: Final answer
    x = 106,232.43

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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.