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Finding the Fourth Proportional to 260,030.60, 390,045.90 and 102,264.20

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Solution

The fourth proportional to 260,030.60, 390,045.90 and 102,264.20 is: 153,396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,030.60 : 390,045.90 = 102,264.20 : x
  2. Step 2: Convert to fraction form
    260,030.60/390,045.90 = 102,264.20/x
  3. Step 3: Cross multiply
    260,030.60x = 390,045.90 × 102,264.20
  4. Step 4: Simplify right side
    260,030.60x = 39,887,731,926.78
  5. Step 5: Solve for x
    x = 39,887,731,926.78/260,030.60
  6. Step 6: Final answer
    x = 153,396.30

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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.