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Finding the Fourth Proportional to 224,783.58, 310,271.13 and 138,769.68

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Solution

The fourth proportional to 224,783.58, 310,271.13 and 138,769.68 is: 191,545.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,783.58 : 310,271.13 = 138,769.68 : x
  2. Step 2: Convert to fraction form
    224,783.58/310,271.13 = 138,769.68/x
  3. Step 3: Cross multiply
    224,783.58x = 310,271.13 × 138,769.68
  4. Step 4: Simplify right side
    224,783.58x = 43,056,225,423.34
  5. Step 5: Solve for x
    x = 43,056,225,423.34/224,783.58
  6. Step 6: Final answer
    x = 191,545.24

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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.