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Finding the Fourth Proportional to 209,820.64, 314,824 and 109,957.10

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Solution

The fourth proportional to 209,820.64, 314,824 and 109,957.10 is: 164,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,820.64 : 314,824 = 109,957.10 : x
  2. Step 2: Convert to fraction form
    209,820.64/314,824 = 109,957.10/x
  3. Step 3: Cross multiply
    209,820.64x = 314,824 × 109,957.10
  4. Step 4: Simplify right side
    209,820.64x = 34,617,134,050.40
  5. Step 5: Solve for x
    x = 34,617,134,050.40/209,820.64
  6. Step 6: Final answer
    x = 164,984.41

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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.