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Finding the Fourth Proportional to 119,409.51, 164,779.14 and 65,693.15

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Solution

The fourth proportional to 119,409.51, 164,779.14 and 65,693.15 is: 90,653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,409.51 : 164,779.14 = 65,693.15 : x
  2. Step 2: Convert to fraction form
    119,409.51/164,779.14 = 65,693.15/x
  3. Step 3: Cross multiply
    119,409.51x = 164,779.14 × 65,693.15
  4. Step 4: Simplify right side
    119,409.51x = 10,824,860,801.27
  5. Step 5: Solve for x
    x = 10,824,860,801.27/119,409.51
  6. Step 6: Final answer
    x = 90,653.25

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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.