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Finding the Fourth Proportional to 141,492.94, 212,188.02 and 77,498.58

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Solution

The fourth proportional to 141,492.94, 212,188.02 and 77,498.58 is: 116,219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,492.94 : 212,188.02 = 77,498.58 : x
  2. Step 2: Convert to fraction form
    141,492.94/212,188.02 = 77,498.58/x
  3. Step 3: Cross multiply
    141,492.94x = 212,188.02 × 77,498.58
  4. Step 4: Simplify right side
    141,492.94x = 16,444,270,748.10
  5. Step 5: Solve for x
    x = 16,444,270,748.10/141,492.94
  6. Step 6: Final answer
    x = 116,219.73

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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.