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Finding the Fourth Proportional to 160,659.86, 221,710.63 and 89,044.51

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Solution

The fourth proportional to 160,659.86, 221,710.63 and 89,044.51 is: 122,881.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,659.86 : 221,710.63 = 89,044.51 : x
  2. Step 2: Convert to fraction form
    160,659.86/221,710.63 = 89,044.51/x
  3. Step 3: Cross multiply
    160,659.86x = 221,710.63 × 89,044.51
  4. Step 4: Simplify right side
    160,659.86x = 19,742,113,967.17
  5. Step 5: Solve for x
    x = 19,742,113,967.17/160,659.86
  6. Step 6: Final answer
    x = 122,881.43

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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.