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Finding the Fourth Proportional to 180,521.64, 249,185.30 and 105,070.14

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Solution

The fourth proportional to 180,521.64, 249,185.30 and 105,070.14 is: 145,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,521.64 : 249,185.30 = 105,070.14 : x
  2. Step 2: Convert to fraction form
    180,521.64/249,185.30 = 105,070.14/x
  3. Step 3: Cross multiply
    180,521.64x = 249,185.30 × 105,070.14
  4. Step 4: Simplify right side
    180,521.64x = 26,181,933,831.59
  5. Step 5: Solve for x
    x = 26,181,933,831.59/180,521.64
  6. Step 6: Final answer
    x = 145,034.88

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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.