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Finding the Fourth Proportional to 209,417.60, 314,126.40 and 129,701.45

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Solution

The fourth proportional to 209,417.60, 314,126.40 and 129,701.45 is: 194,552.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,417.60 : 314,126.40 = 129,701.45 : x
  2. Step 2: Convert to fraction form
    209,417.60/314,126.40 = 129,701.45/x
  3. Step 3: Cross multiply
    209,417.60x = 314,126.40 × 129,701.45
  4. Step 4: Simplify right side
    209,417.60x = 40,742,649,563.28
  5. Step 5: Solve for x
    x = 40,742,649,563.28/209,417.60
  6. Step 6: Final answer
    x = 194,552.18

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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.