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Finding the Fourth Proportional to 120,970.64, 181,461.41 and 42,091.01

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Solution

The fourth proportional to 120,970.64, 181,461.41 and 42,091.01 is: 63,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,970.64 : 181,461.41 = 42,091.01 : x
  2. Step 2: Convert to fraction form
    120,970.64/181,461.41 = 42,091.01/x
  3. Step 3: Cross multiply
    120,970.64x = 181,461.41 × 42,091.01
  4. Step 4: Simplify right side
    120,970.64x = 7,637,892,905.16
  5. Step 5: Solve for x
    x = 7,637,892,905.16/120,970.64
  6. Step 6: Final answer
    x = 63,138.40

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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.