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Finding the Fourth Proportional to 102,362.37, 141,256.47 and 57,038.01

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Solution

The fourth proportional to 102,362.37, 141,256.47 and 57,038.01 is: 78,710.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,362.37 : 141,256.47 = 57,038.01 : x
  2. Step 2: Convert to fraction form
    102,362.37/141,256.47 = 57,038.01/x
  3. Step 3: Cross multiply
    102,362.37x = 141,256.47 × 57,038.01
  4. Step 4: Simplify right side
    102,362.37x = 8,056,987,948.42
  5. Step 5: Solve for x
    x = 8,056,987,948.42/102,362.37
  6. Step 6: Final answer
    x = 78,710.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.