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Finding the Fourth Proportional to 157,618.32, 236,184.48 and 77,564.40

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Solution

The fourth proportional to 157,618.32, 236,184.48 and 77,564.40 is: 116,227.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,618.32 : 236,184.48 = 77,564.40 : x
  2. Step 2: Convert to fraction form
    157,618.32/236,184.48 = 77,564.40/x
  3. Step 3: Cross multiply
    157,618.32x = 236,184.48 × 77,564.40
  4. Step 4: Simplify right side
    157,618.32x = 18,319,507,480.51
  5. Step 5: Solve for x
    x = 18,319,507,480.51/157,618.32
  6. Step 6: Final answer
    x = 116,227.02

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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.