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Finding the Fourth Proportional to 102,645.63, 141,684.80 and 64,970.91

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Solution

The fourth proportional to 102,645.63, 141,684.80 and 64,970.91 is: 89,681.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,645.63 : 141,684.80 = 64,970.91 : x
  2. Step 2: Convert to fraction form
    102,645.63/141,684.80 = 64,970.91/x
  3. Step 3: Cross multiply
    102,645.63x = 141,684.80 × 64,970.91
  4. Step 4: Simplify right side
    102,645.63x = 9,205,390,064.31
  5. Step 5: Solve for x
    x = 9,205,390,064.31/102,645.63
  6. Step 6: Final answer
    x = 89,681.27

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1.5x scale

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.