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Finding the Fourth Proportional to 150,346, 207,477.48 and 90,730

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Solution

The fourth proportional to 150,346, 207,477.48 and 90,730 is: 125,207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,346 : 207,477.48 = 90,730 : x
  2. Step 2: Convert to fraction form
    150,346/207,477.48 = 90,730/x
  3. Step 3: Cross multiply
    150,346x = 207,477.48 × 90,730
  4. Step 4: Simplify right side
    150,346x = 18,824,431,760.40
  5. Step 5: Solve for x
    x = 18,824,431,760.40/150,346
  6. Step 6: Final answer
    x = 125,207.40

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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.