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Finding the Fourth Proportional to 34,220, 47,223.60 and 19,316

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Solution

The fourth proportional to 34,220, 47,223.60 and 19,316 is: 26,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,220 : 47,223.60 = 19,316 : x
  2. Step 2: Convert to fraction form
    34,220/47,223.60 = 19,316/x
  3. Step 3: Cross multiply
    34,220x = 47,223.60 × 19,316
  4. Step 4: Simplify right side
    34,220x = 912,171,057.60
  5. Step 5: Solve for x
    x = 912,171,057.60/34,220
  6. Step 6: Final answer
    x = 26,656.08

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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.