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Finding the Fourth Proportional to 142,066, 196,057.32 and 81,656.08

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Solution

The fourth proportional to 142,066, 196,057.32 and 81,656.08 is: 112,688.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,066 : 196,057.32 = 81,656.08 : x
  2. Step 2: Convert to fraction form
    142,066/196,057.32 = 81,656.08/x
  3. Step 3: Cross multiply
    142,066x = 196,057.32 × 81,656.08
  4. Step 4: Simplify right side
    142,066x = 16,009,272,206.51
  5. Step 5: Solve for x
    x = 16,009,272,206.51/142,066
  6. Step 6: Final answer
    x = 112,688.98

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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.