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Finding the Fourth Proportional to 109,153.61, 150,631.74 and 61,407

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Solution

The fourth proportional to 109,153.61, 150,631.74 and 61,407 is: 84,741.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,153.61 : 150,631.74 = 61,407 : x
  2. Step 2: Convert to fraction form
    109,153.61/150,631.74 = 61,407/x
  3. Step 3: Cross multiply
    109,153.61x = 150,631.74 × 61,407
  4. Step 4: Simplify right side
    109,153.61x = 9,249,843,258.18
  5. Step 5: Solve for x
    x = 9,249,843,258.18/109,153.61
  6. Step 6: Final answer
    x = 84,741.53

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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.