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Finding the Fourth Proportional to 209,587.68, 314,420.40 and 69,347.52

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Solution

The fourth proportional to 209,587.68, 314,420.40 and 69,347.52 is: 104,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,587.68 : 314,420.40 = 69,347.52 : x
  2. Step 2: Convert to fraction form
    209,587.68/314,420.40 = 69,347.52/x
  3. Step 3: Cross multiply
    209,587.68x = 314,420.40 × 69,347.52
  4. Step 4: Simplify right side
    209,587.68x = 21,804,274,977.41
  5. Step 5: Solve for x
    x = 21,804,274,977.41/209,587.68
  6. Step 6: Final answer
    x = 104,034.14

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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.