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Finding the Fourth Proportional to 101,420.14, 139,957.16 and 56,097

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Solution

The fourth proportional to 101,420.14, 139,957.16 and 56,097 is: 77,412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,420.14 : 139,957.16 = 56,097 : x
  2. Step 2: Convert to fraction form
    101,420.14/139,957.16 = 56,097/x
  3. Step 3: Cross multiply
    101,420.14x = 139,957.16 × 56,097
  4. Step 4: Simplify right side
    101,420.14x = 7,851,176,804.52
  5. Step 5: Solve for x
    x = 7,851,176,804.52/101,420.14
  6. Step 6: Final answer
    x = 77,412.40

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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.