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Finding the Fourth Proportional to 210,826.84, 316,286.88 and 98,445.80

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Solution

The fourth proportional to 210,826.84, 316,286.88 and 98,445.80 is: 147,690.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,826.84 : 316,286.88 = 98,445.80 : x
  2. Step 2: Convert to fraction form
    210,826.84/316,286.88 = 98,445.80/x
  3. Step 3: Cross multiply
    210,826.84x = 316,286.88 × 98,445.80
  4. Step 4: Simplify right side
    210,826.84x = 31,137,114,931.10
  5. Step 5: Solve for x
    x = 31,137,114,931.10/210,826.84
  6. Step 6: Final answer
    x = 147,690.47

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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.