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Finding the Fourth Proportional to 142,554.13, 213,831.19 and 42,712.11

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Solution

The fourth proportional to 142,554.13, 213,831.19 and 42,712.11 is: 64,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,554.13 : 213,831.19 = 42,712.11 : x
  2. Step 2: Convert to fraction form
    142,554.13/213,831.19 = 42,712.11/x
  3. Step 3: Cross multiply
    142,554.13x = 213,831.19 × 42,712.11
  4. Step 4: Simplify right side
    142,554.13x = 9,133,181,362.10
  5. Step 5: Solve for x
    x = 9,133,181,362.10/142,554.13
  6. Step 6: Final answer
    x = 64,068.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.