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Finding the Fourth Proportional to 94,490, 141,741.48 and 31,310

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Solution

The fourth proportional to 94,490, 141,741.48 and 31,310 is: 46,967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,490 : 141,741.48 = 31,310 : x
  2. Step 2: Convert to fraction form
    94,490/141,741.48 = 31,310/x
  3. Step 3: Cross multiply
    94,490x = 141,741.48 × 31,310
  4. Step 4: Simplify right side
    94,490x = 4,437,925,738.80
  5. Step 5: Solve for x
    x = 4,437,925,738.80/94,490
  6. Step 6: Final answer
    x = 46,967.15

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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.