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Finding the Fourth Proportional to 101,395.16, 139,929.90 and 56,683.16

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Solution

The fourth proportional to 101,395.16, 139,929.90 and 56,683.16 is: 78,225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,395.16 : 139,929.90 = 56,683.16 : x
  2. Step 2: Convert to fraction form
    101,395.16/139,929.90 = 56,683.16/x
  3. Step 3: Cross multiply
    101,395.16x = 139,929.90 × 56,683.16
  4. Step 4: Simplify right side
    101,395.16x = 7,931,668,910.48
  5. Step 5: Solve for x
    x = 7,931,668,910.48/101,395.16
  6. Step 6: Final answer
    x = 78,225.32

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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.