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Finding the Fourth Proportional to 259,802.90, 389,623.35 and 102,079.70

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Solution

The fourth proportional to 259,802.90, 389,623.35 and 102,079.70 is: 153,087.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,802.90 : 389,623.35 = 102,079.70 : x
  2. Step 2: Convert to fraction form
    259,802.90/389,623.35 = 102,079.70/x
  3. Step 3: Cross multiply
    259,802.90x = 389,623.35 × 102,079.70
  4. Step 4: Simplify right side
    259,802.90x = 39,772,634,681.00
  5. Step 5: Solve for x
    x = 39,772,634,681.00/259,802.90
  6. Step 6: Final answer
    x = 153,087.72

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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.