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Finding the Fourth Proportional to 149,672, 224,263.80 and 69,623

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Solution

The fourth proportional to 149,672, 224,263.80 and 69,623 is: 104,320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,672 : 224,263.80 = 69,623 : x
  2. Step 2: Convert to fraction form
    149,672/224,263.80 = 69,623/x
  3. Step 3: Cross multiply
    149,672x = 224,263.80 × 69,623
  4. Step 4: Simplify right side
    149,672x = 15,613,918,547.40
  5. Step 5: Solve for x
    x = 15,613,918,547.40/149,672
  6. Step 6: Final answer
    x = 104,320.91

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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.