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Finding the Fourth Proportional to 202,068.35, 278,848.35 and 111,424.29

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Solution

The fourth proportional to 202,068.35, 278,848.35 and 111,424.29 is: 153,762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,068.35 : 278,848.35 = 111,424.29 : x
  2. Step 2: Convert to fraction form
    202,068.35/278,848.35 = 111,424.29/x
  3. Step 3: Cross multiply
    202,068.35x = 278,848.35 × 111,424.29
  4. Step 4: Simplify right side
    202,068.35x = 31,070,478,022.18
  5. Step 5: Solve for x
    x = 31,070,478,022.18/202,068.35
  6. Step 6: Final answer
    x = 153,762.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.