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Finding the Fourth Proportional to 205,070.13, 307,603.35 and 64,828.80

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Solution

The fourth proportional to 205,070.13, 307,603.35 and 64,828.80 is: 97,242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,070.13 : 307,603.35 = 64,828.80 : x
  2. Step 2: Convert to fraction form
    205,070.13/307,603.35 = 64,828.80/x
  3. Step 3: Cross multiply
    205,070.13x = 307,603.35 × 64,828.80
  4. Step 4: Simplify right side
    205,070.13x = 19,941,556,056.48
  5. Step 5: Solve for x
    x = 19,941,556,056.48/205,070.13
  6. Step 6: Final answer
    x = 97,242.62

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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.